Profiling results ----------------- Total cpu time observed: 19314ms (out of 19720ms) Number of samples taken: 87 (once every 222ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ============================================================================ Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ============================================================================ ??? [24] 100.0% [1] 18260(94.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------------- ??? [24] 100.0% [2] 10818(56.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 96.5% get-final-combination [10] 3.5% ---------------------------------------------------------------------------- loop [58] 3.8% ??? [24] 96.2% [3] 9820(50.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 69.2% for-loop [8] 18.2% iterate-egraph!5 [12] 12.6% ---------------------------------------------------------------------------- f16 [61] 100.0% [4] 198(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [9] 100.0% ---------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 18260(94.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [24] 100.0% ---------------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 10442(54.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ---------------------------------------------------------------------------- simplify [3] 100.0% [7] 6800(35.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 100.0% ---------------------------------------------------------------------------- simplify [3] 100.0% [8] 1784(9.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 100.0% ---------------------------------------------------------------------------- taylor-invert [4] 47.6% hash-ref! [70] 52.4% [9] 416(2.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [61] 52.4% debug7 [14] 47.6% ---------------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 376(1.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ---------------------------------------------------------------------------- for-loop [6] 100.0% [11] 10442(54.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 90.4% finalize-iter! [17] 5.6% gen-series! [18] 4.0% ---------------------------------------------------------------------------- simplify [3] 12.6% for-loop [8] 18.2% simplify-expr [7] 69.2% [12] 9820(50.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 100.0% ---------------------------------------------------------------------------- get-final-combination [10] 100.0% [13] 376(1.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [58] 100.0% ---------------------------------------------------------------------------- simplify [9] 100.0% [14] 198(1.0%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [22] 100.0% ---------------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [15] 9820(50.8%) 436(2.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [20] 47.9% for-loop [21] 44.0% apply-match [25] 1.9% ---------------------------------------------------------------------------- run-iter! [11] 100.0% [16] 9444(48.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [19] 100.0% ---------------------------------------------------------------------------- run-iter! [11] 100.0% [17] 582(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [22] 100.0% ---------------------------------------------------------------------------- run-iter! [11] 100.0% [18] 416(2.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ---------------------------------------------------------------------------- simplify! [16] 100.0% [19] 9444(48.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [24] 100.0% ---------------------------------------------------------------------------- one-iter [15] 100.0% [20] 4704(24.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [25] 100.0% ---------------------------------------------------------------------------- for-loop [21] 47.7% one-iter [15] 52.3% [21] 4318(22.4%) 1040(5.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [21] 47.7% match-e [30] 38.0% ---------------------------------------------------------------------------- debug7 [14] 25.4% finalize-iter! [17] 74.6% [22] 780(4.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 74.6% assoc-has-key? [28] 25.4% ---------------------------------------------------------------------------- gen-series! [18] 100.0% [23] 416(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [27] 100.0% ---------------------------------------------------------------------------- for-loop [19] 17.0% run [5] 40.4% [24] 18878(97.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.4% loop [29] 21.3% run-improve58 [2] 21.2% simplify [3] 17.0% ---------------------------------------------------------------------------- one-iter [15] 3.8% loop [20] 96.2% [25] 4888(25.3%) 218(1.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [31] 31.7% update-leader! [37] 20.9% match-e [30] 17.2% for-loop [33] 9.0% loop! [67] 8.8% substitute-e [35] 4.1% mk-enode! [41] 3.8% ---------------------------------------------------------------------------- ??? [22] 100.0% [26] 582(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [32] 100.0% ---------------------------------------------------------------------------- for-loop [23] 100.0% [27] 416(2.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ---------------------------------------------------------------------------- ??? [22] 100.0% [28] 198(1.0%) 198(1.0%) assoc-has-key? ...ts/racket/private/dict.rkt:236:0 ---------------------------------------------------------------------------- ??? [24] 100.0% [29] 8060(41.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [47] 49.7% loop [36] 48.1% for-loop [44] 2.2% ---------------------------------------------------------------------------- apply-match [25] 12.9% for-loop [50] 17.5% for-loop [21] 69.6% [30] 4120(21.3%) 3078(15.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [50] 12.4% for-loop [38] 10.0% loop [58] 5.3% curry* [43] 4.9% variable? [42] 2.7% ---------------------------------------------------------------------------- for-loop [46] 5.7% apply-match [25] 94.3% [31] 1550(8.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [37] 52.8% loop! [67] 30.0% for-loop [45] 11.5% for-loop [46] 5.7% ---------------------------------------------------------------------------- for-loop [26] 100.0% [32] 582(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [39] 100.0% ---------------------------------------------------------------------------- apply-match [25] 100.0% [33] 440(2.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [67] 100.0% ---------------------------------------------------------------------------- taylor-alt [27] 100.0% [34] 416(2.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [40] 100.0% ---------------------------------------------------------------------------- apply-match [25] 100.0% [35] 200(1.0%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [41] 100.0% ---------------------------------------------------------------------------- loop [29] 100.0% [36] 3874(20.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [47] 54.2% loop [48] 45.8% ---------------------------------------------------------------------------- merge-egraph-nodes! [31] 44.5% apply-match [25] 55.5% [37] 1840(9.5%) 220(1.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [49] 88.0% ---------------------------------------------------------------------------- match-e [30] 100.0% [38] 622(3.2%) 202(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 51.4% list-cartesian-product [55] 16.1% ---------------------------------------------------------------------------- atab-add-altn [32] 100.0% [39] 582(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 100.0% ---------------------------------------------------------------------------- location-do [40] 26.2% for-loop [34] 73.8% [40] 416(2.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [52] 73.8% location-do [40] 26.2% ---------------------------------------------------------------------------- apply-match [25] 47.9% substitute-e [35] 52.1% [41] 384(2.0%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [53] 52.1% new-enode [56] 47.9% ---------------------------------------------------------------------------- match-e [30] 100.0% [42] 220(1.1%) 220(1.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 ---------------------------------------------------------------------------- match-e [30] 100.0% [43] 200(1.0%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [54] 100.0% ---------------------------------------------------------------------------- loop [29] 100.0% [44] 180(0.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [57] 100.0% ---------------------------------------------------------------------------- merge-egraph-nodes! [31] 100.0% [45] 178(0.9%) 178(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------------- merge-egraph-nodes! [31] 100.0% [46] 178(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [31] 100.0% ---------------------------------------------------------------------------- loop [36] 34.4% loop [29] 65.6% [47] 6106(31.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [66] 53.0% loop [58] 43.7% eval-prog [63] 3.2% ---------------------------------------------------------------------------- loop [36] 100.0% [48] 1774(9.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 100.0% ---------------------------------------------------------------------------- update-leader! [37] 100.0% [49] 1620(8.4%) 202(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [59] 74.1% update-en-expr [88] 13.5% ---------------------------------------------------------------------------- for-loop [38] 29.1% match-e [30] 70.9% [50] 1444(7.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [30] 100.0% ---------------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [51] 582(3.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 100.0% ---------------------------------------------------------------------------- location-do [40] 100.0% [52] 416(2.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 52.4% f16 [61] 47.6% ---------------------------------------------------------------------------- mk-enode! [41] 100.0% [53] 200(1.0%) 200(1.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------------- curry* [43] 100.0% [54] 200(1.0%) 200(1.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------------- for-loop [38] 100.0% [55] 200(1.0%) 200(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------------- mk-enode! [41] 100.0% [56] 184(1.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [76] 100.0% ---------------------------------------------------------------------------- for-loop [44] 100.0% [57] 180(0.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample [64] 100.0% ---------------------------------------------------------------------------- ??? [65] 0.0% make-exacts* [47] 0.1% map [66] 0.4% match-e [30] 1.2% extract-alt [13] 1.8% loop! [67] 3.1% loop [58] 93.4% [58] 8918(46.2%) 434(2.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 93.4% loop! [67] 3.1% simplify [3] 1.8% loop [69] 1.2% ??? [65] 0.3% real->bigfloat [73] 0.0% ---------------------------------------------------------------------------- for-loop [49] 100.0% [59] 1200(6.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% ---------------------------------------------------------------------------- errors [51] 100.0% [60] 582(3.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [65] 100.0% ---------------------------------------------------------------------------- approximate9 [52] 11.9% simplify [9] 13.1% f16 [61] 23.8% map [66] 51.2% [61] 416(2.2%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [66] 64.3% f16 [61] 23.8% taylor-invert [4] 11.9% ---------------------------------------------------------------------------- approximate9 [52] 100.0% [62] 218(1.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ---------------------------------------------------------------------------- make-exacts* [47] 100.0% [63] 198(1.0%) 198(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------------- for-loop [57] 100.0% [64] 180(0.9%) 0(0.0%) sample /home/ztatlock/herbie/src/points.rkt:68:0 sample-default [71] 100.0% ---------------------------------------------------------------------------- for-loop [60] 7.3% loop [58] 92.7% [65] 8022(41.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [72] 58.3% real->bigfloat [73] 16.8% loop [58] 13.8% ??? [93] 8.5% ->flonum [80] 2.5% ---------------------------------------------------------------------------- f16 [61] 7.7% loop [48] 32.7% make-exacts* [47] 59.7% [66] 5428(28.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 92.3% f16 [61] 6.7% make-multiplication-node [77] 1.0% ---------------------------------------------------------------------------- for-loop [33] 15.4% loop [58] 22.4% apply-match [25] 30.3% merge-egraph-nodes! [31] 31.8% [67] 1426(7.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [75] 62.1% loop [58] 22.4% update-en-expr [88] 7.7% set [76] 7.7% ---------------------------------------------------------------------------- for-loop [59] 100.0% [68] 1200(6.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [74] 100.0% ---------------------------------------------------------------------------- loop [58] 100.0% [69] 220(1.1%) 220(1.1%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------------- ??? [78] 25.0% loop [62] 25.0% ??? [79] 50.0% [70] 218(1.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [79] 50.0% ??? [78] 25.0% simplify [9] 25.0% ---------------------------------------------------------------------------- sample [64] 100.0% [71] 180(0.9%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [84] 100.0% ---------------------------------------------------------------------------- ??? [65] 100.0% [72] 4680(24.2%) 586(3.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [81] 44.7% ??? [87] 34.1% ...higher-order.rkt:373:33 [85] 4.8% ??? [84] 3.8% ---------------------------------------------------------------------------- loop [58] 40.5% ??? [65] 59.5% [73] 2266(11.7%) 1858(9.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 18.0% ---------------------------------------------------------------------------- hash-update! [68] 100.0% [74] 1200(6.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [82] 100.0% ---------------------------------------------------------------------------- loop! [67] 100.0% [75] 986(5.1%) 408(2.1%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [83] 58.6% ---------------------------------------------------------------------------- new-enode [56] 45.5% loop! [67] 54.5% [76] 404(2.1%) 404(2.1%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------------- map [66] 100.0% [77] 218(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [86] 100.0% ---------------------------------------------------------------------------- hash-ref! [70] 100.0% [78] 218(1.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ---------------------------------------------------------------------------- hash-ref! [70] 100.0% [79] 218(1.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ---------------------------------------------------------------------------- ??? [65] 100.0% [80] 202(1.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [84] 100.0% ---------------------------------------------------------------------------- ??? [72] 100.0% [81] 2094(10.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [87] 100.0% ---------------------------------------------------------------------------- ??? [74] 100.0% [82] 1200(6.2%) 1000(5.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [88] 16.7% ---------------------------------------------------------------------------- custom-set-union [75] 100.0% [83] 578(3.0%) 200(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [89] 65.4% ---------------------------------------------------------------------------- ??? [72] 31.8% sample-default [71] 32.1% ->flonum [80] 36.1% [84] 560(2.9%) 560(2.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------------- ??? [72] 100.0% [85] 224(1.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 100.0% ---------------------------------------------------------------------------- make-multiplication-node [77] 100.0% [86] 218(1.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [91] 100.0% ---------------------------------------------------------------------------- ??? [72] 43.3% bf* [81] 56.7% [87] 3692(19.1%) 1164(6.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 44.8% bfsqr [94] 12.2% ??? [96] 11.5% ---------------------------------------------------------------------------- for-loop [82] 31.3% for-loop [49] 34.2% loop! [67] 34.5% [88] 638(3.3%) 638(3.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------------- for-loop [83] 100.0% [89] 378(2.0%) 378(2.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------------- ...higher-order.rkt:373:33 [85] 100.0% [90] 224(1.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% ---------------------------------------------------------------------------- make-multiplication-subnode [86] 100.0% [91] 218(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 make-multiplication-subsubsubnode [95]100.0% ---------------------------------------------------------------------------- ??? [87] 100.0% [92] 1654(8.6%) 1170(6.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 29.3% ---------------------------------------------------------------------------- ??? [90] 24.7% ??? [65] 75.3% [93] 906(4.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ---------------------------------------------------------------------------- ??? [87] 100.0% [94] 450(2.3%) 450(2.3%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ---------------------------------------------------------------------------- for-loop [91] 100.0% [95] 218(1.1%) 218(1.1%) make-multiplication-subsubsubnode ...uce.rkt:253:0 ---------------------------------------------------------------------------- ??? [87] 31.9% ??? [93] 68.1% [96] 1330(6.9%) 716(3.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 46.2% ---------------------------------------------------------------------------- real->bigfloat [73] 45.7% bfmul [92] 54.3% [97] 892(4.6%) 892(4.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------------- ??? [96] 100.0% [98] 614(3.2%) 178(0.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 71.0% ---------------------------------------------------------------------------- ??? [98] 100.0% [99] 436(2.3%) 436(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------------